Years 1 2 3 4 5 6 7 8 height 2.1 3.2 6.8 7.3 11.2 12.6 13.4 15.9 what is the correlation coefficient for the set of data? round your answer to the nearest thousandth.

r = 0.99

Very strong positive correlation between x and y

Step-by-step explanation:

Given is a data containing years and the corresponding heights

We have to find the correlation coefficient.

xy

12.1

23.2

36.8

47.3

511.2

612.6

713.4

815.9

r0.988670694

Formula for r is

Thus we find that correlation coefficient is 0.988670694

Rounding off to two decimals r = 0.99

Very strong positive correlation between x and y

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

no

explanation:

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